The Norwegian is aiming to sign for Championship club Sunderland in the coming months.
Per Gambling.com, Solskjaer is now the 5/2 third favorite to take on the Black Cats job.
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Solskjaer has been one of many ex-United players linked to the position lately.
Roy Keane, who managed Sunderland in the past, is also one of the names on their list.
Meanwhile, Dwight Yorke is said to have expressed interest in the job as well.